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Finding the Fourth Proportional to 9,132.35, 12,814.45 and 9,132.35

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Solution

The fourth proportional to 9,132.35, 12,814.45 and 9,132.35 is: 12,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.35 : 12,814.45 = 9,132.35 : x
  2. Step 2: Convert to fraction form
    9,132.35/12,814.45 = 9,132.35/x
  3. Step 3: Cross multiply
    9,132.35x = 12,814.45 × 9,132.35
  4. Step 4: Simplify right side
    9,132.35x = 117,026,042.46
  5. Step 5: Solve for x
    x = 117,026,042.46/9,132.35
  6. Step 6: Final answer
    x = 12,814.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.